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Finding the Fourth Proportional to 3,538.82, 5,306.67 and 1,782.74

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Solution

The fourth proportional to 3,538.82, 5,306.67 and 1,782.74 is: 2,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.82 : 5,306.67 = 1,782.74 : x
  2. Step 2: Convert to fraction form
    3,538.82/5,306.67 = 1,782.74/x
  3. Step 3: Cross multiply
    3,538.82x = 5,306.67 × 1,782.74
  4. Step 4: Simplify right side
    3,538.82x = 9,460,426.14
  5. Step 5: Solve for x
    x = 9,460,426.14/3,538.82
  6. Step 6: Final answer
    x = 2,673.33

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